6533b7cffe1ef96bd1259090

RESEARCH PRODUCT

Charged current weak electroproduction of the Delta resonance

subject

description

We study the weak production of $\ensuremath{\Delta}$ (i.e., ${e}^{\ensuremath{-}}+\stackrel{\ensuremath{\rightarrow}}{p}{\ensuremath{\Delta}}^{0}+{\ensuremath{\nu}}_{e}$ and ${e}^{+}+\stackrel{\ensuremath{\rightarrow}}{p}{\ensuremath{\Delta}}^{++}+{\overline{\ensuremath{\nu}}}_{e})$ in the intermediate energy range corresponding to the Mainz and TJNAF electron accelerators. The differential cross sections $\ensuremath{\sigma}(\ensuremath{\theta})$ are found to be of the order of ${10}^{\ensuremath{-}39}$ cm${}^{2}$/sr, over a range of angles which increases with energy. The possibility of observing these reactions with the high luminosities available at these accelerators, and studying the weak $N$-$\ensuremath{\Delta}$ transition form factors through these reactions is discussed. The production cross section of ${N}^{*}(1440)$ in the same kinematic region is also estimated and found to be smaller than the $\ensuremath{\Delta}$ production cross section.